216 citations · 1.2k across the 28 of their papers we have counts for
28 papers
Quantum walled Brauer algebra: commuting families, Baxterization, and representations
A M Semikhatov, I Yu Tipunin
For the quantum walled Brauer algebra, we construct its Specht modules and (for generic parameters of the algebra) seminormal modules. The latter construction yields the spectrum o…
Representations of at even roots of unity
A M Semikhatov, I Yu Tipunin
We construct all projective modules of the restricted quantum group at an even, th, root of unity. This -dimensional Hopf algebra is a common doub…
Logarithmic ^sl(2) CFT models from Nichols algebras. 1
A. M. Semikhatov, I. Yu. Tipunin
We construct chiral algebras that centralize rank-two Nichols algebras with at least one fermionic generator. This gives "logarithmic" W-algebra extensions of a fractional-level ^s…
Lattice W-algebras and logarithmic CFTs
A. M. Gainutdinov, H. Saleur, I. Yu. Tipunin
This paper is part of an effort to gain further understanding of 2D Logarithmic Conformal Field Theories (LCFTs) by exploring their lattice regularizations. While all work so far h…
Kazhdan-Lusztig equivalence and fusion of Kac modules in Virasoro logarithmic models
P. V. Bushlanov, A. M. Gainutdinov, I. Yu. Tipunin
The subject of our study is the Kazhdan-Lusztig (KL) equivalence in the context of a one-parameter family of logarithmic CFTs based on Virasoro symmetry with the (1,p) central char…
The Nichols algebra of screenings
A. M. Semikhatov, I. Yu. Tipunin
Two related constructions are associated with screening operators in models of two-dimensional conformal field theory. One is a local system constructed in terms of the braided vec…